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Finding the Fourth Proportional to 714.29, 984.89 and 662.45

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Solution

The fourth proportional to 714.29, 984.89 and 662.45 is: 913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 984.89 = 662.45 : x
  2. Step 2: Convert to fraction form
    714.29/984.89 = 662.45/x
  3. Step 3: Cross multiply
    714.29x = 984.89 × 662.45
  4. Step 4: Simplify right side
    714.29x = 652,437.07
  5. Step 5: Solve for x
    x = 652,437.07/714.29
  6. Step 6: Final answer
    x = 913.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.